Charney equation

E542052

The Charney equation is a fundamental quasi-geostrophic equation in atmospheric dynamics that describes large-scale Rossby waves and mid-latitude weather patterns on a rotating planet.

All labels observed (1)

Label Occurrences
Charney equation canonical 1

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Statements (46)

Predicate Object
instanceOf equation in atmospheric dynamics ⓘ
partial differential equation ⓘ
quasi-geostrophic equation ⓘ
appliesTo Earth atmosphere ⓘ
rotating planets ⓘ
assumes Boussinesq or shallow-atmosphere approximation ⓘ
hydrostatic atmosphere ⓘ
small Froude number ⓘ
small Rossby number ⓘ
basedOn geostrophic balance ⓘ
hydrostatic balance ⓘ
quasi-geostrophic approximation ⓘ
canBe linearized for small-amplitude Rossby waves ⓘ
captures dispersion of large-scale atmospheric waves ⓘ
westward phase propagation of Rossby waves ⓘ
describes large-scale Rossby waves ⓘ
mid-latitude weather patterns ⓘ
domain synoptic and planetary scales ⓘ
expressedIn isobaric coordinates ⓘ
pressure coordinates ⓘ
field atmospheric science ⓘ
geophysical fluid dynamics ⓘ
meteorology ⓘ
formulatedFor mid-latitude beta-plane ⓘ
governs evolution of quasi-geostrophic potential vorticity ⓘ
historicalContext developed in mid-20th century ⓘ
includesTerm beta effect ⓘ
planetary vorticity gradient ⓘ
relative vorticity ⓘ
influenced development of modern numerical weather prediction ⓘ
mathematicalForm nonlinear partial differential equation ⓘ
namedAfter Jule Gregory Charney ⓘ
neglects ageostrophic inertia-gravity waves ⓘ
friction at leading order ⓘ
relatedTo Rossby wave dispersion relation ⓘ
linked to: Rossby waves

barotropic vorticity equation ⓘ
beta-plane approximation ⓘ
quasi-geostrophic potential vorticity equation ⓘ
requires background zonal flow specification ⓘ
usedFor analysis of large-scale atmospheric waves ⓘ
simplified numerical weather prediction models ⓘ
theoretical study of baroclinic instability ⓘ
usedIn idealized climate and circulation models ⓘ
large-scale atmospheric dynamics ⓘ
synoptic-scale meteorology ⓘ
theory of Rossby waves ⓘ

How these facts were elicited

Referenced by (1)

Full triples — surface form annotated when it differs from this entity's canonical label.

Jule Gregory Charney → knownFor → Charney equation ⓘ